kelly wants to enclose a rectangular area for her dog with 240 feet of fencing.she wants the width to be 20 feet. what will be t
1 answer:
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9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
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Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
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As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
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<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
Teacher will have 3 bottles of glue after he combines
<em><u>Solution:</u></em>
Given that,
The art teacher has 7 bottles of glue that are each 2/5 full
He combines them so he will have fewer bottles
<em><u>To find: bottles of glue does he have after he combines them</u></em>
From given,
Total bottles = 7
Each is 2/5 full
Therefore, multiply 7 with 2/5 to get total bottles of glues he will have after combining
Thus teacher will have 3 bottles of glue after he combines